101142242432 has 128 divisors (see below), whose sum is σ = 252175334400. Its totient is φ = 39255229440.

The previous prime is 101142242419. The next prime is 101142242491. The reversal of 101142242432 is 234242241101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×101142242432² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2572619 + ... + 2611637.

It is an arithmetic number, because the mean of its divisors is an integer number (1970119800).

Almost surely, 2^101142242432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101142242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126087667200).

101142242432 is an abundant number, since it is smaller than the sum of its proper divisors (151033091968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101142242432 is a wasteful number, since it uses less digits than its factorization.

101142242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39314 (or 39302 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 101142242432 its reverse (234242241101), we get a palindrome (335384483533).

The spelling of 101142242432 in words is "one hundred one billion, one hundred forty-two million, two hundred forty-two thousand, four hundred thirty-two".